Greatest Common Factor of 706/31, 298/619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 706/31, 298/619

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 706/31,298/619

Given fractions are 706/31,298/619

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 706,298

Greatest Common Factor of Numerators i.e. GCF of 706,298 is 2 .

LCM of Denominators means LCM of 31,619 as per the given fractions.

LCM of 31,619 is 19189 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 706,298

GCF of Fractions 706/31,298/619 is 2/19189

2 706, 298
353, 149

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 706,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,298 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 706,298 . The biggest common factor number is the GCF number.
So the greatest common factor 706,298 is 2.

Lets's calculate LCM of 31,619

Given numbers has no common factors except 1. So, there LCM is their product i.e 19189

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19189

Therefore, the GCF of Fractions 706/31,298/619 is 2/19189

Least Common Multiple of 31,619 with GCF Formula

Least Common Multiple of 31,619 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 31,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,619) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(31,619) x common factors =1 x 1 = 1

LCM(31,619) = ( 31 × 619 ) / 1

LCM(31,619) = 19189 / 1

LCM(31,619) = 19189


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 706/31, 298/619

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 706/31, 298/619?

Answer: GCF of Numerators as per given numbers 706/31, 298/619 is

GCF of Numerators i.e. for 706,298 is 2

LCM of denominators i.e. for 31,619 is 19189.

Thus, GCF of Fractions is 2/19189.Finally, GCF of Fractions for 706/31, 298/619 is 2/19189.